{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c982abca",
   "metadata": {},
   "source": [
    "# Interpretability 9: Different plotting metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d8f94f0f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cuda\n",
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 1.48e-02 | test_loss: 1.53e-02 | reg: 7.01e+00 | : 100%|█| 20/20 [00:04<00:00,  4.64it\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    }
   ],
   "source": [
    "from kan import *\n",
    "\n",
    "device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n",
    "print(device)\n",
    "\n",
    "model = KAN(width=[2,5,1], device=device)\n",
    "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,[0]]) + x[:,[1]]**2)\n",
    "dataset = create_dataset(f, n_var=2, device=device)\n",
    "model.fit(dataset, steps = 20, lamb=1e-3);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2ec5f5b0",
   "metadata": {},
   "source": [
    "Note: To plot the KAN diagram, there are also three options\n",
    "* forward_u: the \"norm\" of edge, normalized (output std/input std)\n",
    "* forward_n: the \"norm\" of edge, unnormalized (output std)\n",
    "* backward: the edge attribution score (default)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1c7c3c05",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(metric='forward_u')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3bdd9213",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(metric='forward_n')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8e92a57d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 22 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(metric='backward')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
